Answer:
The remainder after dividing x4 + 3x3 − 8x2 + 5x − 9 by x + 5 is 16
Step-by-step explanation:
We have to divide x4 + 3x3 − 8x2 + 5x − 9 by x+5
First of all we solve the first term of the dividend.
We have the divisor x+5
If we multiply it by x^3 than we get the first term of our dividend.
x^3(x+5) = x^4+5x^3
x4 + 3x3 − 8x2 + 5x − 9
x^4+5x^3
- -
___________________
-2x^3-8x^2+5x-9
Now we have the first term of dividend as -2x^3
Now we will multiply x+5 by -2x^2 to get the first term
-2x^2(x+5) = -2x^3-10x^2
-2x^3-8x^2+5x-9
-2x^3-10x^2
+ +
______________
2x^2+5x-9
Now the first term of the dividend is 2x^2
So we will multiply x+5 by 2x
2x(x+5)= 2x^2+10x
2x^2+5x-9
2x^2+10x
- -
_________
-5x -9
Now the dividend we have is -5x-9
We will multiply x+5 by -5
-5(x+5) = -5x-25
-5x -9
-5x-25
+ +
______
16
Thus the remainder after dividing x4 + 3x3 − 8x2 + 5x − 9 by x + 5 is 16....
Answer:
C
Step-by-step explanation:
The sum of the interior angles of a square = 360° ( 4 right angles )
The sum of the interior angles of a triangle = 180°
Then sum of interior angles of the figure is
sum = 180° + 180° + 360° = 720° → C
Answer:
11.28m
Step-by-step explanation:
The computation of the height of the spire is shown below:
let us assume the height of the spire be x
Now
For triangle ABD
Tan 43 degrees = h ÷ x
x = h × cot 43 degrees
= 1.07236 h
For triangle ABC
tan 15 degrees = h ÷ (30 + x)
0.2679 = h ÷ 30 + 1.07236h
8.038 + 0.28728 h = h
h = 11.28m
50% is 30, it’s half of 60. 25% is the same as dividing by 4, 60/4 is 15.
Answer:
6cm
Step-by-step explanation:
